F1- Delta -Lifting modules

Abstract

Let R be an associative ring with identity and let M be an unitary  left R-module. An R-module M is called F₁- lifting, if every fully invariant sub module A of M contains a direct summand  B of M such that B ≤ _ce A . In this paper we introduce  F₁-δ-lifting  as a generalization of F₁-lifting  module. We prove similar results of  F₁-lifting.

Keywords:  F₁-δ-lifting modules ,strongly F₁-δ-lifting modules.